(1 point)
Responses
No, the triangles are not necessarily congruent.
No, the triangles are not necessarily congruent.
Yes, △ABC≅△LMN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSA Congruence Theorem.
Yes, △ABC≅△MLN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSA Congruence Theorem.
Yes, △ABC≅△NLM by the SSA Congruence Theorem.
1 answer
The correct response is:
No, the triangles are not necessarily congruent.
This is because the SSA (Side-Side-Angle) condition does not guarantee triangle congruence. SSA can lead to ambiguous cases where two different triangles can be formed with the same side lengths and angle, meaning the triangles may not be congruent.
Thus, a proper congruence statement cannot be established based on the SSA condition alone.
